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Finding the Fourth Proportional to 2,776, 4,160.76 and 1,542.82

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Solution

The fourth proportional to 2,776, 4,160.76 and 1,542.82 is: 2,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776 : 4,160.76 = 1,542.82 : x
  2. Step 2: Convert to fraction form
    2,776/4,160.76 = 1,542.82/x
  3. Step 3: Cross multiply
    2,776x = 4,160.76 × 1,542.82
  4. Step 4: Simplify right side
    2,776x = 6,419,303.74
  5. Step 5: Solve for x
    x = 6,419,303.74/2,776
  6. Step 6: Final answer
    x = 2,312.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.